Search for a new heavy gauge boson resonance decaying into a lepton and missing transverse momentum in 36 fb$^{-1}$ of $pp$ collisions at $\sqrt{s} =$ 13 TeV with the ATLAS experiment

The results of a search for new heavy $W^\prime $ bosons decaying to an electron or muon and a neutrino using proton–proton collision data at a centre-of-mass energy of $\sqrt{s}~=~13$ TeV are presented. The dataset was collected in 2015 and 2016 by the ATLAS experiment at the Large Hadron Collider and corresponds to an integrated luminosity of 36.1 $\text{ fb }^{-1}$ . As no excess of events above the Standard Model prediction is observed, the results are used to set upper limits on the $W^\prime $ boson cross-section times branching ratio to an electron or muon and a neutrino as a function of the $W^\prime $ mass. Assuming a $W^\prime $ boson with the same couplings as the Standard Model W boson, $W^\prime $ masses below 5.1 TeV are excluded at the 95% confidence level.